What is the sum of the geometric sequence -3, 18, -108,
if there are 8 terms?

Answers

Answer 1

Step-by-step explanation:

using gp formula

tn=ar^n-1

which our a which is the first term is = -3

our r which is t2/t1=-6

t8=(-3)(-6)^8-1

=(-3)(-6)^7

=(-3)(-279936)

=839808


Related Questions

Match each quadratic function given in factored form
with its equivalent standard form listed on the left.
-f(*) = (x + 2)(x - 6)
f(x) = (x - 4)(x + 3)
f(x) = (x - 12)(x 1)
f(x) = (x -3)(x + 4)

Answers

The standard form of the given quadratic equation in  factored form is

(x+2) (x-6) = x²-4x-12

(x-4) (x+3) = x²-x-12

(x-12) (X+1) = x²-11x-12

(x-3) (x+4) = x²+x-12

what are quadratic equations?

A quadratic function can be defined as a function having the highest degree 2. The standard form of a quadratic function is ax²+bx+c where a and b are not equal to zero

To convert a factored quadratic function into the standard form, we first need to open the brackets by multiplying the integers. Then carry out addition or subtraction operations to obtain the equation.

f(x) = (x+2) (x-6)

x²+2x-6x-12

x²-4x-12

similarly, the standard form of equations 2,3 and 4 are :

(x²-x-12)

(x²-11x-12)

(x²+x-12)

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Answer:

B, D, A, C

Step-by-step explanation:

f(x) = (x + 2)(x – 6)

✔ B

f(x) = (x – 4)(x + 3)

✔ D

f(x) = (x – 12)(x + 1)

✔ A

f(x) = (x – 3)(x + 4)

✔ C

Help please !!!!!!! Need helppppp

Answers

Answer:

option c

Step-by-step explanation:

option c is a correct answer

Find the value of x in the given figure

Answers

Answer:

X=36

Step-by-step explanation:

2x + 3x=5x

if given figure is 180 then

5x=180

X=180/5

X=36

How many diagonals does a regualt hexagon have?

Answers

Answer: 9 diagonals

Step-by-step explanation:

At a sale this week, a desk is being sold for $336. This is a 36% discount from the original price.
What is the original price?

Answers

Answer:

$525

Step-by-step explanation:

We can find the original price by using the formula x - 0.36x = 336, where x is the original price, 0.36 is the discount percentage (converted to decimal form), and 336 is the total amount paid after the discount is applied:

[tex]x-0.36x=336\\0.64x=336\\x=525[/tex]

To check and further understand why the formula works, we can simply apply the discount to the original price and subtract the number from the original price:

525 * 0.36 = 189

525 - 189 = 336

Modeling the first formula gives us:

525 - (0.36 * 525) = 336

525 - 189 = 336

In the diagram below, if < ACD = 48 °, find the measure of < ABD.

Answers

Answer:

d

Step-by-step explanation:

the opposite angles of a cyclic quadrilateral sum to 180° , that is

∠ ABD + ∠ ACD = 180°

∠ ABD + 48° = 180° ( subtract 48° from both sides )

∠ ABD = 132°

The long division below shows the first term of the quotient. which polynomial should be subtracted from the dividend first? x 2 startlongdivisionsymbol x cubed 3 x squared x endlongdivisionsymbol to get a quotient of x squared

Answers

The polynomial that should be subtracted from the dividend first is; x³ + 2x²

How to carry out polynomial long division?

The long division we are given is;

        __________

x + 2 ) x³ + 3x² + x

Now, when we divide the polynomial by (x + 2), it means that the first quotient will be x².

Then by the multiplication of (x + 2) and x², we get a polynomial which will be subtracted from the dividend. Thus, we have;

(x + 2) * (x²) = x³ + 2x²

Thus, the polynomial to be subtracted is x³ + 2x²

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Gustavo is in a contest where he will win one of four possible prizes. he creates a four-part spinner to represent the four prizes that he has an equal chance of winning: a video game system, a bicycle, a watch, and a gift card. he spins the spinner several times to demonstrate the likelihood of winning a certain prize. what is true about gustavo’s method of data collection and his data on the possible prizes?

Answers

Answer:

Gustavo used a simulation where the data is quantitative’

Please help with number 5 I tried it but I’m very confused :(

Answers

Answer: [tex]\Large\boxed{15~dimes~;~9~nickels}[/tex]

Step-by-step explanation:

Given information

Number of coins = 24 coins

Total amount = $1.95

Dime = 10 cents = $0.1

Nickel = 5 cents = $0.05

Set variables

Let d be the number of dimes

Let n be the number of nickels

Set a system of equation

1) d + n = 24

2) 0.1d + 0.05n = 1.95

Multiply 10 on both sides of 2) equation

0.1d · 10 + 0.05n · 10 = 1.95 · 10

d + 0.5n = 19.5

Current system

1) d + n = 24

2) d + 0.5n = 19.5

Subtract 2) equation from the 1) equation

(d + n) - (d + 0.5n) = (24) - (19.5)

Expand the parenthesis

d + n - d - 0.5n = 24 - 19.5

Combine like terms

d - d + n - 0.5n = 4.5

0.5n = 4.5

Divide 0.5 on both sides

0.5n / 0.5 = 4.5 / 0.5

[tex]\Large\boxed{n=9}[/tex]

Substitute the n value into one of the equations to find the d value

d + n = 24

d + (9) = 24

d = 24 - 9

[tex]\Large\boxed{d=15}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Create a system of equations
n + d = 24
0.05n + 0.1d = 1.95

I used substitution
n = 24 - d
0.05(24 - d) + 0.1d = 1.95
1.2 - 0.05d + 0.1d = 1.95
1.2 + 0.05d = 1.95
0.05d = 0.75
d = 15 or 15 dimes

Plug in
n + d = 24
n + 15 = 24
n = 9 or 9 nickels

Check
0.05n + 0.1d = 1.95
0.05(9) + 0.1(15) = 1.95
0.45 + 1.50 = 1.95
1.95 = 1.95

A large container holds 4 gallons of chocolate milk that has to be poured into 1-pint bottles. if the ratio of gallons to pints is 1 : 8, how many bottles are needed? a. 2 bottles b. 4 bottles c. 8 bottles d. 32 bottles e. 40 bottles

Answers

32 bottles are needed to poured 4 gallons of chocolate milk.

The correct option is D.

What do you know about volume?

A closed surface's volume, which is expressed as a scalar quantity, measures how much three-dimensional space is enclosed. The area that a material or 3D object takes up or contains, for instance. The SI-derived cubic metre is a common unit for quantifying volume quantitatively.

According to the given information:

Pints to Gallons Ratio: 1:8

Permit x bottles to be present.

There are x bottles required for 4 gallons of chocolate milk.

Because of the direct proportion

4/x = 1/8

x = 4 x 8

x = 32

As a result, 32 bottles are required.

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P (-7, 1) T(x,y)= (x+9, y - 3) find the image of the given point under the given translation

Answers

[tex](-7+9, 1-3)=\boxed{(2, -2)}[/tex]

The answer is (2,-2).

What do we mean by translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction. For instance, this transformation shifts the parallelogram 3 units upward and 5 units to the right.A transformation in geometry is an action that moves, flips, or modifies a shape (referred to as the preimage) to produce a new shape (called the image). An example of a transformation is a translation, which moves every point in a figure uniformly and in one direction.

Find the image of the given point under the given translation:

The rule of translation is (x+9, y - 3), P (-7, 1).

Here we need to add 9 from

x value is -7+9=2

y We need to subtract -3 from

y value is (1-3)=-2

So, P’=( 2,-2)

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help pls i will give brainleast no links

Answers

Answer:   100 square cm

Step-by-step explanation:   the triangle is 33 cm and the big rectangle is 9x7 square cm. There is a small square that is 2x2 =4 cm so the total is 33 +63 + 4 which is 100 cm.

Answer: 104

Step-by-step explanation:

area of trangle =33 because 6*11/2=33

area of rectangle 9*7=63

area of rectangle  2*2=4

33+63+4=100^2

An industrial machine produces widgets, but it has a 0.12 defective rate. what is the probability that the machine produces fewer than 3 defective widgets in a production run of 75 items?

Answers

The probability that the machine produces fewer than 3 defective widgets in a production run of 75 items is 0.041.

What is the probability?

A probability refers to the ratio of favorable events to the n number of total events.

Also, it means the chance that a particular event (s) will occur expressed on a linear scale from 0 to 1 which can also be expressed as a percentage between 0 and 100%.

Given data

An industrial machine produces 3 widgets.

It has a 0.12 defective rate.

Defective rate fewer than 3

Total Probability = P of 2 defective + P for 1 defective

Total Probability = 2/74 + 1/73

Total Probability ≈ 0.04072565716

Total Probability ≈ 0.041

Therefore, the required probability for fewer than 3 defective rate is 0.041

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Look at the equation shown below. 19 - 5 = 3 z - 11 Which of these expressions gives the value of Z

Answers

If the equation is 19-5=3z-11 then the value of z is 15/3.

Given an equation in terms of z is 19-5=3z-11.

We are required to find the value of variable z which exist in equation.

Equation is like a  relationship between two or more variables expressed in equal to form. Equations of two or more variables look like ax+by=c. It may be linear equation, quadratic equation,cubic equation,or many more depending on power of the variable.

The value of z can be find as under:

19-5=3z-11

4=3z-11

3z=4+11

3z=15

z=15/3

Hence if the equation is 19-5=3z-11 then the value of variable z is 15/3.

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6. Solve the system of equations.
x = 3y + 1
2x+4y= 12
O (10,3)
O (4,1)
(1,4)
(3,10)

Answers

Answer:

(4, 1 )

Step-by-step explanation:

x = 3y + 1 → (1)

2x + 4y = 12 → (2)

substitute x = 3y + 1 into (2)

2(3y + 1) + 4y = 12

6y + 2 + 4y = 12

10y + 2 = 12 ( subtract 2 from both sides )

10y = 10 ( divide both sides by 10 )

y = 1

substitute y = 1 into (1)

x = 3(1) + 1 = 3 + 1 = 4

solution is (4, 1 )

Ben invests Nu 125,000 in a bank shares with a face value of Nu 100 but they are being sold at a premium of 25%. How many shares can he buy?​

Answers

Answer:

This is your answer!

Step-by-step explanation:

Isabelle is mixing red paint with blue paint to make purple paint. She adds 3/10 of a fluid ounce of red to 11/15 of a fluid ounce of blue to make 1 1/30fluid ounces of purple. How many fluid ounces of red paint will she need to make 3 fluid ounces of purple paint?

Answers

Answer:

27/31

Step-by-step explanation:

FIrst, construct a ratio. Isabelle needs 3/10 red to make 31/30 purple. So, we can divide red by purple to form a fraction to determine how much red paint for 1 fluid oz of purple. (3/10)/(31/30)=(9/30)/(31/30)=9/31. For every 1 oz of purple, we need 9/31 oz of red. Because we found how much red paint for 1 oz purple paint, we simply multiply by 3 to find how much red paint for 3 fluid oz of purple paint. (9/31)*3=27/31

What is the answer please

Answers

Answer:

m∠RSU = 10x - 9 = 10(14) - 9 = 140 - 9 = 131

m∠RST = 2x = 2(14) = 28

m∠TSU = 2x + 75 = 2(14) + 75 = 28 + 75 = 103

Step-by-step explanation:

m∠RSU = m∠RST + m∠TSU

10x - 9 = 2x + (2x + 75)

10x - 9 = 2x + 2x + 75

10x - 9 = 4x + 75

-4x +9     -4x  +9

      6x = 84

         x = 14

m∠RSU = 10x - 9 = 10(14) - 9 = 140 - 9 = 131

m∠RST = 2x = 2(14) = 28

m∠TSU = 2x + 75 = 2(14) + 75 = 28 + 75 = 103

Question 1 (essay worth 4 points) (h2.02 mc) the cost of attending an amusement park is $15 for children and $40 for adults. on a particular day, the attendance at the amusement park is 5,000 attendees, and the total money earned by the park is $100,000. use the given matrix equation to solve for the number of children’s tickets sold. explain the steps that you took to solve this problem. a matrix with 2 rows and 2 columns, where row 1 is 1 and 1 and row 2 is 15 and 40, is multiplied by matrix with 2 rows and 1 column, where row 1 is c and row 2 is a, equals a matrix with 2 rows and 1 column, where row 1 is 5,000 and row 2 is 100,000.

Answers

Using a system of equations, it is found that there were 4,000 children tickets sold.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given by:

Variable x: Number of children tickets sold.Variable y: Number of adult tickets sold.

The attendance at the amusement park is 5,000 attendees, hence:

x + y = 5000 -> y = 5000 - x.

Considering the cost of parking and that the total money earned by the park is $100,000, we have that:

15x + 40y = 100000

Applying the multiplication of the matrices, these equations are the same that the system gives. Replacing the second equation into the first:

15x + 40(5000 - x) = 100000

25x = 100000

x = 100000/25

x = 4000.

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For what value of x is 3 − x equal to x − 3?

Answers

Answer:

x = 3

Step-by-step explanation:

Given the information from the question, we can deduce that:

3 - x = x - 3

Now our goal here is to find x.

3 - x = x -3

3 - x - 3  = x - 3 - 3

- x = x - 6

- x - x = x - 6 - x

- 2x = - 6

x = [tex]\frac{-6}{-2}[/tex] = 3

Answer: 3

Step-by-step explanation: The only value for x in which 3 - x is the same as x - 3 is where x does not affect the value of 3 whatsoever. We can also set this up algebraically to find this out algebraically.

x - 3 = 3 - x

Adding 3 to both sides, we have

x = 6 - x

Adding x to both sides we have

2x = 6

Dividing by 2 from both sides, we get

x = 3

In the circle below, if < B = 39 °, what is the measure of arc AB?

Answers

From my analysis, the answer is likely to be D. I don't have a formula to prove it though.

Answer: 78 degrees.

Step-by-step explanation:

The other guy is wrong don't listen to him.

Solve for x.

x/3 ≤ −6

Answers

x / 3 ≤ -6

---Multiply both sides by 3 to cancel out the denominator on the left side

x ≤ -18

Hope this helps!

Answer:

x=18 we multiply both 6and3

please help! look at the phot linked

Answers

Answer:  C

Step-by-step explanation: the other two options are both wrong, 0.13 is larger than 0.125 and she did order by volume per fish.

What is the product of (5 m superscript negative 2 baseline) (2 m superscript negative 3 baseline)?

Answers

Answer:

A

Step-by-step explanation:

Rearrange the equation so w is the independent variable.
u-5=-4(w-1)u−5=−4(w−1)u, minus, 5, equals, minus, 4, left parenthesis, w, minus, 1, right parenthesis
u=u=

Answers

u = - 4w + 9 is the rearranged equation so that w is the independent variable given that the equation is u - 5= - 4(w - 1). This can be obtained by simplifying the equation and taking w to one side of the equation with other constants.

Find the rearranged equation:

Simplifying an equation can be done by using the following steps:

Add/subtract the terms from the equation on both sides    Multiply/divide the coefficients of the variable in order to isolate the variable    Solve for the variable    Substitute the variable in the original equation for finding other variables (if any)

Here it is given that the equation is,

⇒ u - 5= - 4(w - 1)

We have to find an equation in which w is taken to one side of the equation with other constants.

First by adding both side of the equation with 5 we get,

⇒ u - 5 + 5 = - 4(w - 1) + 5

By opening the bracket we get,

⇒ u = - 4w + 4 + 5

Finally by adding the constants we get,

u = - 4w + 9

Hence u = - 4w + 9 is the rearranged equation so that w is the independent variable given that the equation is u - 5= - 4(w - 1).

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The operation * is defined over the set of ordered pairs by (a,b)*(c,d)=(ac-bd,ad+bc) for all (a,b),(c,d)€R given that the inverse of (a,b) is (c,d) find an expression for c and d in terms of a and b hence find the inverse of (2,1)

Answers

a.  The expressions for c and d in terms of a and b are

c = -2b³/[(a⁴ - b⁴)a] + 1/(a - b) and d = -2b²/(a⁴ - b⁴)

b.  The inverse of (2,1) is (13/15, -4/15)

The question has to do with binary operation.

What is a binary operation?

A binary operation is a rule of mathematical operation on two sets of elements defined on a given set.

a. How to find the expression for c and d

Since The operation * is defined over the set of ordered pairs by (a,b)*(c,d)=(ac-bd,ad+bc) for all (a,b),(c,d)€R given that the inverse of (a,b) is (c,d).

Let (e, e') be the identity element.

We know that for any binary operation * on a given set, a*e = a where e is the identity element.

So,  (a,b)*(e,e') =  (a,b)

So, (a,b)*(c,d) = (ac - bd, ad + bc)

(a,b)*(e,e') = (ae - be, ae' + be')

Since  (a,b)*(e,e') =  (a,b)

(ae - be, ae' + be') = (a, b)

So,

ae - be = a (1) and ae' + be' = b (2)

e = a/(a - b) and e' = b/(a + b)

So, (e, e') = (a/(a - b), b/(a + b))

Also, for any binary operation * under a given set a*a⁻¹ = e where a⁻¹ = inverse of a.

Since (c,d) is the inverse of (a,b), we have that

(a,b)*(c,d) = (e, e')

So, (a,b)*(c,d) = (ac - bd, ad + bc)

=  (a/(a - b), b/(a + b))

So,

ac - bd = a/(a - b) (3) and ad + bc = b/(a + b)  (4)

From (3), c = bd/a + 1/(a - b)

Substituting c into (4), we have

ad + bc = b/(a + b)  

ad + b[bd/a + 1/(a - b)] = b/(a + b)  

ad + b²d/a + b/(a - b) = b/(a + b)  

ad + b²d/a = b/(a + b) -  b/(a - b)]

(a + b²/a)d = b[1/(a + b) -  1/(a - b)]

[(a² + b²)/a]d = b[a - b - (a + b)]/(a - b)(a + b)

[(a² + b²)/a]d = b[a - b - a - b)]/(a - b)(a + b)

[(a² + b²)/a]d = b(-2b)/(a² - b²)

d = -2ab²/[(a² - b²)(a² + b²)]

d = -2ab²/(a⁴ - b⁴)

Substitutind d into c, we have

c = bd/a + 1/(a - b)

c = -2ab³/(a⁴ - b⁴)a + 1/(a - b)

c = -2b³/(a⁴ - b⁴) + 1/(a - b)

So, the expressions for c and d in terms of a and b are

c = -2b³/[(a⁴ - b⁴) + 1/(a - b) and d = -2ab²/(a⁴ - b⁴)b. What is the inverse of (2,1)

Since (c,d) is the inverse of (a,b) is

c = -2b³/(a⁴ - b⁴)+ 1/(a - b) and d = -2ab²/(a⁴ - b⁴)

So, with a = 2 and b = 1, c = -2b³/(a⁴ - b⁴) + 1/(a - b)

= -2(1)³/(2⁴ - 1⁴) + 1/(2 - 1)

= -2/(16 - 1) + 1/1

= -2/15 + 1

= (-2 + 15)/15

= 13/15

So, with a = 2 and b = 1, d = -2ab²/(a⁴ - b⁴)

= -2(2)(1)²/(2⁴ - 1⁴)

= -4(1)/(16 - 1)

= -4/15

So, the inverse of (2,1) is (13/15, -4/15)

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13% of a sample of 200 students do not like ice cream. what is the 95% confidence interval to describe the total percentage of students who do not like ice cream?

Answers

Using the z-distribution, the 95% confidence interval to describe the total percentage of students who do not like ice cream is:

(8.34%, 17.66%).

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

For this problem, the estimate and the sample size are given, respectively, by:

[tex]\pi = 0.13, n = 200[/tex]

Hence the bounds of the interval are:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 - 1.96\sqrt{\frac{0.13(0.87)}{200}} = 0.0834[/tex][tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 + 1.96\sqrt{\frac{0.13(0.87)}{200}} = 0.1766[/tex]

As a percentage, the interval is:

(8.34%, 17.66%).

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A blimp is 1600 meters high in the air and measures the angles of depression to two stadiums to the east of the blimp. if those measurements are 71.7° and 25.2°, how far apart are the two stadiums?

Answers

The two stadiums are 2,871 meters

A blimp    = point A

stadium 1  = point B

stadium 2 = point C

height of the blimp ,  AD = 1600

depression angle of stadium 1 , ∠y = 71.7°

depression angle of stadium 2 , ∠x = 25.2°

distance between the two stadiums  = d

So, it forms 2 triangles  ABD and ACD,

Using the trigonometric ratios,

tan θ = Altitude / Base

DC = AD × tan (90° - x)

= 1600 × tan( 90° - 25.2° )

= 1600 × cot(25.2°)

= 1600 × 2.13

DB = AD × tan (90° - y)

= 1600 × tan( 90° - 71.7° )

= 1600 × cot(71.7°)

= 1600 × 0.33

∴ d = DC - DB

     = 1600 * [ tan( 90° - 25.2° ) - tan( 90° - 71.7° ) ]

    = 2,871 meters

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What is the value of an AP: 50+45+40

Answers

Answer:

135 is correct answer of this question

y=2x + 9
3x + 2y = 4

Answers

Answer:

The answer is: (x,y) = (-2,5)

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How many fruits did Anna get? Select the correct text in the passage.Which phrase in this excerpt from Kurt Vonnegut's "Report on the Barnhouse Effect* is an example of sarcasm?To ask how much longer the professor will live is to ask how much longer we must wait for the blessings of another world war. He is of short-lived stock: his mother lived to be fifty-three, his father to be forty-nine; and the life-spans of his grandparents on both sides were of the sameorder. He might be expected live, then, for perhaps fifteen years more, if he can remain hidden from his enemnies. When one considers thenumber and vigor of these enemies, however, fifteen years seems an extraordinary length of time, which might better be revised to fifteen days,hours, or minutes.The professor knows that he cannot live much longer. I say this because of the message left in my mailbox on Christmas Eve. Unsigned,typewritten on a soiled scrap of paper, the note consisted of ten sentences. The first nine of these, each a bewildering tangle of psychologicaljargon and references to obscure texts, made no sense to me at first reading. The tenth, unlike the rest, was simply constructed and containedno large words. What is the unit of the quotient of inductance and resistance? Compare and contrast between form and report; and give an example for each one? A baker has 4 3/4 pounds of cookie dough. He uses 1/16 pound of dough for each cookie. How many cookies can he make? Simplify the answer. A tentative explanation of certain facts that provides the basis for further experimentation is a(n) ___. observation hypothesis law theory What god helps odysseus repel circe's spells when he encounters them on the way to circe's hall? By holding (unofficially) weak u.s. dollars, his country was helping pay for the unpopular vietnam war? 7 pointsrue or False: Only the dominant racial and ethnic groups have privilege.TrueFalse Where in xg firewall would a it administrator go to get a visual overview of their network's cybersecurity health? In pavlovs original experiment with dogs, the tone was initially a(n) __________ stimulus; after it was paired with meat, it became a(n) __________ stimulus. 2. Mrs Marta is a financial executive with XYZ Enterprises. Although Mrs Msrts has not had any formal training in finance or accounting, she has a good sense for numbers and has helped the company grow from a very small company ($500,000 sales) to a large operation ($45 million in sales). With the business growing steadily, however, the company needs to make a number of difficult financial decisions in which Marta feels a little over his head. She therefore has decided to hire a new employee with numbers expertise to help her. As a basis for determining whom to employ, she has decided to ask each prospective employee to prepare answers to questions relating to the following situations she has encountered recently. Here are the questions. a. In 2009, XYZ Enterprises negotiated and closed a long-term lease contract for newly constructed truck terminals and freight storage facilities. The buildings were constructed on land owned by the company. On January 1, 2010, XYZ took possession of the leased property. 20-year lease is effective for the period January 1, 2010, through December 31, 2029. Advance rental payments of $800,000 are payable to the lessor (owner of facilities) on January 1 of each of the first 10 years of the lease term. Advance payments of $400,000 are due on January 1 for each of the last 10 years of the lease term. XYZ has an option to purchase all the leased facilities for $1 on December 31, 2029. At the time the lease was negotiated, the fair market value of the truck terminals and freight storage facilities was approximately $7,200,000. If the company had borrowed the money to purchase the facilities, it would have had to pay 10% interest. Should the company have purchased rather than leased the facilities? b. Last year the company exchanged a piece of land for a non-interest-bearing note. The note is to be paid at the rate of $15,000 per year for 9 years, beginning one year from the date of disposal of the land. An appropriate rate of interest for the note was 11%. At the time the land wa Rhett is solving the quadratic equation 0= x2 2x 3 using the quadratic formula. which shows the correct substitution of the values a, b, and c into the quadratic formula? quadratic formula: x = startfraction negative b plus or minus startroot b squared minus 4 a c endroot over 2 a endfraction Function: y=x2+5x7Vertex: ( , )Solutions: ( , ) and ( , ) Let f(x) = xex if x 0 and f(x) = 0 if x < 0Is f a probability density function? amplificar la siguientes fracciones con tal que de un numero igual al final las fracciones son: a. 1/2, 3/4, 5/10, 9/20b. 3/8, 1/15, 3/20, 9/10c. 7/9, 1/3, 5/6, 3/4d.3/12, 1/5 7/15 1/20 For each of the number lines, write an absolute value equation that has the following solution set. 26 and m Acne company has an agreement with a major credit card company that calls for cash to be:____ Solve the given differential equation by separation of variables. dy dx = e4x 5y Why isnt my Cronus zen not showing a green Light when I plug in my usb cable?